a b s t r a c tIn this short note, we consider the long-time behavior for the solution of weakly damped wave equation with lower regular forcing. The existence of a global attractor is obtained. To verify asymptotic compactness of the semigroup, we present a new method about decomposition of the solution and apply the Strichartz estimate to the wave equation according to the recent progress. Moreover, translational regularity of the attractor is established.

This paper is concerned with the long-time behavior of solutions to the weakly damped wave equation with lower regular forcing defined on the entire space R 3 . The existence of a global attractor inis proven. Moreover, under some additional condition, the translational regularity of the attractor is established. MSC: 35B40; 35B41